MATHEMATICS MIDDLE SCHOOL

3. Find a solution to the following system of equations.
-3x + 3y = -9
-3x + y = 7

Answers

Answer 1
Answer:

Answer:

x = 5

y = 2

Step-by-step explanation:

-3x + 3y = -9

3y = 3x - 9

Equation 1. y = x - 3

-3x + y = 7

Equation 2. y = 3x + 7

So, put number 1 equation to number 2's y :

x - 3 = 3x + 7

x -3x = 7 + 3

-2x = 10

2x = 10

x = 10/2

x = 5

And, put x, which is 5 , to the any equation to figure out the y.

This time, I'll use equation number 1.

y = 5 - 3

y = 2

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A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of theapothem is 4.83 inches. The height of the prism is 12 inches. What is the volume of the prism? Round your answer
to the nearest whole number
cubic inches

Answers

The volume of the prism with octagon base is 927.058 in³

How to calculate volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The area of the octagon = 2(1 + √2) * side² = 2(1 + √2) * 4² = 77.25 in²

The volume of the prism = area of base * height = 77.25 in² * 12 in = 927.058 in³

The volume of the prism with octagon base is 927.058 in³

Find out more on volume at: brainly.com/question/1972490

Answer:

927 cubic inches

Step-by-step explanation:

Please help me i am in trouble

Answers

1/6 is your answer hope i could help:)
I'm not quite sure what the above answer is talking about, but we can work this out by working the problem backwards like so:
175 + 60 = 235
235 x 2 = 470
470 - 40 = 430
430 x 2 = 860
Therefore he had 860 paperclips to start with :))

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 rows of the same length, he has 3 chairs left over. If he arranges the chairs in 7 rows of that same length, he has 19 left over. How many chairs does Liam have?

Answers

He has 75 chairs
The x represents the amount of chairs in each row while the number attached to the exponent shows how many rows he was able to set up with the extra chairs
 9x + 3 = 7x + 19
-7x -3    -7x     -3
-----------------------
2x=16        x=8
2     2
Plug 8 back into the equation and you see that it equals 75 on both sides. So that means Liam has 75 chairs to set up
75 chairs! I hope this helps;)

10 points i need help i need to finish in 1 hourhow much does it cost to buy 3 drinks​

Answers

Answer:

4.50

Step-by-step explanation:

3 divided by 2 is 1.5, which is equivalent to $1.50. So each drink cost 1.50. 1.50 x 3 = 4.50.

What is the slope of (1,5),(2,8)

Answers

Answer:

m=3

Step-by-step explanation:

m= 8-(5)/2-(1)

12 eggs cost 2.04 .how much would 18 eggs cost

Answers

To find this we need to find the unit rate for each egg. To find the unit rate we need to divide $2.04 by 12. $2.04 divided by 12 equals $0.17. Now multiply 18 by $0.17 to find the price for 18 eggs. 18* 0.17 = 3.06
So the answer is $3.06
$2.04 \ 12 =.17 which means each egg costs $0.17
.17x18= 3.06 which is your answer
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